Question

Use models to solve each inequality. Write the answer in set builder notation. 4-7?!

Answer 1

Explanation:

4) Given that 3x<15

Divide by +3 without affecting inequality

x<5

Hence answer is (-∞,5)

5) -6x<18

Add 6x to both sides

0<6x+18

Subtract 18

-18<6x

Divide by +6

-3<x

Hence answer is (-3,∞)

6) 2x+6>x-7

Subtract x-6 from both the sides

x >-13

So answer is (-13,∞)

7) -4x+8≥14

Add 4x-14 to both the sides

-6≥4x

x≥-3/2

Hence answer is [-3/2,∞)